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Finding the Fourth Proportional to 362,257.60, 543,362.10 and 96,012.40

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Solution

The fourth proportional to 362,257.60, 543,362.10 and 96,012.40 is: 144,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,257.60 : 543,362.10 = 96,012.40 : x
  2. Step 2: Convert to fraction form
    362,257.60/543,362.10 = 96,012.40/x
  3. Step 3: Cross multiply
    362,257.60x = 543,362.10 × 96,012.40
  4. Step 4: Simplify right side
    362,257.60x = 52,169,499,290.04
  5. Step 5: Solve for x
    x = 52,169,499,290.04/362,257.60
  6. Step 6: Final answer
    x = 144,012.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.